Number Theory

    

Cracking the Collatz Code: a Journey from Conjecture to Certainty Through Infinity

Authors: Eric Lough

The Collatz conjecture, a puzzle that has intrigued mathematicians for decades, has met its resolution through a simple combination of trial and error combined with a spreadsheet. While the primary goal was to definitively prove the conjecture, the exploration revealed unexpected insights into the underlying patterns of the Collatz sequence. This study introduces a novel approach to organizing and analyzing Collatz data, laying bare the formulas governing the sequence's behavior. The results present a conclusive proof of the Collatz conjecture and unveil a spectrum of sets and formulas reaching to infinity, each contributing to a deeper understanding of its workings. Comprehensive instructions are provided, encouraging collaboration and furthering the collective understanding of mathematical sequences.

Comments: 7 Pages.

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Submission history

[v1] 2023-12-05 21:32:41

Unique-IP document downloads: 240 times

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